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Vortices in fluids and superfluids are fundamental to phenomena ranging from Bose-Einstein condensates and superfluid films to neutron stars and hydrodynamic micro-rotors, where background geometry often plays an important role. Curvature…

Mathematical Physics · Physics 2026-05-21 Gaurang Mangesh Joshi , Rickmoy Samanta

Using complementary numerical approaches at high resolution, we study the late-time behaviour of an inviscid, incompressible two-dimensional flow on the surface of a sphere. Starting from a random initial vorticity field comprised of a…

Fluid Dynamics · Physics 2015-12-08 David G. Dritschel , Wanming Qi , J. B. Marston

This article reviews recent developments in quantum fluid dynamics and quantum turbulence (QT) for superfluid helium and atomic Bose-Einstein condensates. Quantum turbulence was discovered in superfluid $^4$He in the 1950s, but the field…

Other Condensed Matter · Physics 2009-11-13 Makoto Tsubota

We present an analytical study of fluctuations of the Vortex Line Density (VLD) $<\delta \mathcal{L}(\omega) \delta \mathcal{L}(-\omega)>$ in turbulent flows of quantum fluids. Two cases are considered. The first one is the counterflowing…

Other Condensed Matter · Physics 2015-06-11 Sergey K. Nemirovskii

In two dimensions a microscopic theory providing a basis for the naive analogy between a quantized vortex in a superfluid and an electron in a uniform magnetic field is presented. Following the variational approach developed by Peierls,…

Condensed Matter · Physics 2007-05-23 Jian-Ming Tang

Generation, statistically steady state, and temporal decay of axially rotating thermal counterflow of superfluid $^4$He (He~II) in a square channel is probed using the second sound attenuation technique, measuring the density of quantized…

We perform numerical simulations of finite temperature quantum turbulence produced through thermal counterflow in superfluid $^4$He, using the vortex filament model. We investigate the effects of solid boundaries along one of the Cartesian…

Fluid Dynamics · Physics 2015-03-10 Andrew W. Baggaley , Jason Laurie

Quantum vortices are commonly described as funnel-like objects around which the superfluid swirls, and their motion is typically modeled in terms of massless particles. Here we show that in Fermi superfluids the normal component confined in…

A recent experiment has shown that a tangle of quantized vortices in superfluid $^4$He decayed even at mK temperatures where the normal fluid was negligible and no mutual friction worked. Motivated by this experiment, this work studies…

Soft Condensed Matter · Physics 2009-10-31 Makoto Tsubota , Tsunehiko Araki , Sergey K. Nemirovskii

Vortices are commonly observed in the context of classical hydrodynamics: from whirlpools after stirring the coffee in a cup to a violent atmospheric phenomenon such as a tornado, all classical vortices are characterized by an arbitrary…

Quantum Gases · Physics 2017-04-06 G. Bighin , L. Salasnich

Vortices in electron fluids are a key indicator of electron hydrodynamics. However, a comprehensive framework linking macroscopic vorticity measurements with microscopic interactions and scattering mechanisms has been lacking. We employ…

Mesoscale and Nanoscale Physics · Physics 2024-09-27 Khachatur G. Nazaryan , Leonid Levitov

After over a decade of experiments generating and studying the physics of quantized vortices in atomic gas Bose-Einstein condensates, research is beginning to focus on the roles of vortices in quantum turbulence, as well as other measures…

Quantum Gases · Physics 2015-06-15 Angela C. White , Brian P. Anderson , Vanderlei S. Bagnato

In the paper by Khomenko et al. [Phys. Rev. B \textbf{91}, 180504 (2015)] the authors, analyzing numerically the steady counterflowing helium in inhomogeneous channel flow, concluded that the production term $\mathcal{P}$ in the Vinen…

Other Condensed Matter · Physics 2016-11-23 Sergey K. Nemirovskii

The flow of superfluid $^4$He around a translationally oscillating sphere, levitating without mechanical support, can either be laminar or turbulent, depending on the velocity amplitude. Below a critical velocity $v_c$ that scales as…

Other Condensed Matter · Physics 2017-11-17 Michael Niemetz , Risto Hänninen , Wilfried Schoepe

Since the idea of quantum turbulence was first proposed by Feynman, and later realized in experiments of superfluid helium and Bose-Einstein condensates, much emphasis has been put in finding signatures that distinguish quantum turbulence…

Quantum Gases · Physics 2025-04-24 Julian Amette Estrada , Marc E. Brachet , Pablo D. Mininni

Filamentary regions of high vorticity irregularly form and disappear in the turbulent flows of classical fluids. We report an experimental comparative study of these so-called " coherent structures " in a classical versus quantum fluid,…

Other Condensed Matter · Physics 2017-06-28 E Rusaouen , B Rousset , P. -E Roche

I review the basic physics of ultracold dilute trapped atomic gases, with emphasis on Bose-Einstein condensation and quantized vortices. The hydrodynamic form of the Gross-Pitaevskii equation (a nonlinear Schr{\"o}dinger equation)…

Quantum Gases · Physics 2015-05-19 Alexander L. Fetter

Spinorial or multi-component Bose-Einstein condensates may sustain fractional quanta of circulation, vorticant topological excitations with half integer windings of phase and polarization. Matter-light quantum fluids, such as microcavity…

Liquid 4He has been studied extensively for almost a century, but there are still a number of outstanding weak or missing links in our comprehension of it. This paper reviews some of the principal paths taken in previous research and then…

Statistical Mechanics · Physics 2009-11-11 H. W. Jackson

As first pointed out by Bardeen and Ginzburg in the early sixties, the amount of magnetic flux carried by vortices depends on their distance to the sample edge and can be smaller than one flux quantum, f0 = h/2e. In bulk superconductors,…

Superconductivity · Physics 2016-03-23 A. K. Geim , S. V. Dubonos , I. V. Grigorieva , K. S. Novoselov , F. M. Peeters , V. A. Schweigert
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